The inductance of a closely packed coil of 560 turns is 8.9 mH. Calculate the magnetic flux through the coil when the current is 7.0 mA.

Respuesta :

Answer:

[tex]0.11\times 10^{-6}weber[/tex]

Explanation:

We have given number of turns N = 560

Inductance L = 8.9 mH

Current through the coil = 7 mA

Inductance of the coil is given as [tex]L=\frac{N\Phi }{I}[/tex]

Where N  is number of turns I is current and [tex]\Phi[/tex] is flux

So [tex]\Phi =\frac{LI}{N}=\frac{8.9\times 10^{-3}\times 7\times 10^{-3}}{560}=0.11\times 10^{-6}weber[/tex]

Answer:

The magnetic flux through the coil is [tex]1.1125\times10^{-7}\ Wb[/tex]

Explanation:

Given that,

Number of turns = 560

Inductance = 8.9 mH

Current = 7.0 mA

We need to calculate the magnetic flux

Using formula for magnetic flux

[tex]L=\dfrac{N\phi}{I}[/tex]

[tex]\phi=\dfrac{LI}{N}[/tex]

Where, L = inductance

I = current

N = number of turns

Put the value into formula

[tex]\phi=\dfrac{8.9\times10^{-3}\times7.0\times10^{-3}}{560}[/tex]

[tex]\phi=1.1125\times10^{-7}\ Wb[/tex]

Hence, The magnetic flux through the coil is [tex]1.1125\times10^{-7}\ Wb[/tex]